In order to predict the creep behavior of incomplete composite girder correctively, a new finite element solution is proposed. The concrete slab and the steel girder are connected by some type of connectors. The stiffness and spacings of these connectors affect on the instant and time-dependent behavior of the girder. The method proposed here makes it possible to estimate conveniently the increasing deflection and the stress redistribution between the concrete slab and the steel girder. In the analysis, parametric studies are carried out by using the flexibility coefficient which evaluates the effects of connectors.